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Maximal or Greatest Homomorphic Images of Given Type
Takayuki Tamura
Source record
Source: Crossref
Published: Jan 1, 1968
DOI: 10.4153/cjm-1968-026-5
Open original source ↗Source abstract
Let Q be a quasi-ordered set with respect to ⩽ ; that is, the order ⩽ is reflexive and transitive. An element a of Q is called maximal (minimal) if a is called greatest (smallest) if Obviously a greatest (smallest) element is maximal (minimal). A greatest (smallest) element in a partially ordered set is unique, but it is not necessarily unique in a quasi-ordered set.
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